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Finding the Third Proportional to 33,987 and 74,697

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Solution

The third proportional to 33,987 and 74,697 is: 164,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987 : 74,697 = 74,697 : x
  2. Step 2: Convert to fraction form
    33,987/74,697 = 74,697/x
  3. Step 3: Cross multiply
    33,987x = 74,697 × 74,697
  4. Step 4: Simplify right side
    33,987x = 5,579,641,809
  5. Step 5: Solve for x
    x = 5,579,641,809/33,987
  6. Step 6: Final answer
    x = 164,169.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.